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Finding the Fourth Proportional to 8,359.92, 11,525.40 and 6,938.46

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Solution

The fourth proportional to 8,359.92, 11,525.40 and 6,938.46 is: 9,565.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359.92 : 11,525.40 = 6,938.46 : x
  2. Step 2: Convert to fraction form
    8,359.92/11,525.40 = 6,938.46/x
  3. Step 3: Cross multiply
    8,359.92x = 11,525.40 × 6,938.46
  4. Step 4: Simplify right side
    8,359.92x = 79,968,526.88
  5. Step 5: Solve for x
    x = 79,968,526.88/8,359.92
  6. Step 6: Final answer
    x = 9,565.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.